If the $1 vote was a single vote from a single account, then yes, the non-linear curve would give a different result by design.
If it was a number of votes, then I think you'll begin to approach the same amount as previously.

Hey Luke. Does the number of votes matter? Wouldn't it be the same payout irrespective?

Otherwise people would just split up their large accounts into smaller ones, which negates the point of the CLRC change.